A fourth order numerical scheme for the one-dimensional sine-Gordon equation

dc.contributor.author	Μπράτσος, Αθανάσιος Γ.	el
dc.date.accessioned	2015-06-04T20:12:26Z
dc.date.available	2015-06-04T20:12:26Z
dc.date.issued	2015-06-04
dc.identifier.uri	http://hdl.handle.net/11400/15125
dc.rights	Αναφορά Δημιουργού-Μη Εμπορική Χρήση-Όχι Παράγωγα Έργα 3.0 Ηνωμένες Πολιτείες	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/us/	*
dc.source	http://www.scopus.com/record/display.url?origin=recordpage&eid=2-s2.0-46249119130&citeCnt=0&noHighlight=false&sort=plf-f&src=s&sid=2DCF200B00379677732236F1AFC88BE5.ZmAySxCHIBxxTXbnsoe5w%3a3440&sot=autdocs&sdt=autdocs&sl=18&s=AU-ID%2815724401200%29&relpos=10	en
dc.subject	Τέταρτης τάξης
dc.subject	Αριθμητικά αποτελέσματα
dc.subject	Αριθμητικό σύστημα
dc.subject	Αριθμητική λύση
dc.subject	προγνωστικός παράγοντας διόρθωσης
dc.subject	Fourth order
dc.subject	Numerical results
dc.subject	Numerical scheme
dc.subject	Numerical solution
dc.subject	Predictor corrector
dc.title	A fourth order numerical scheme for the one-dimensional sine-Gordon equation	en
heal.type	journalArticle
heal.classification	Πληροφορική
heal.classification	Μαθηματικά
heal.classification	Computer science
heal.classification	Mathematics
heal.classificationURI	N/A-Πληροφορική
heal.classificationURI	N/A-Μαθηματικά
heal.classificationURI	http://skos.um.es/unescothes/C00750
heal.classificationURI	http://skos.um.es/unescothes/C02437
heal.identifier.secondary	DOI: 10.1080/00207160701473939
heal.language	en
heal.access	campus
heal.recordProvider	Τεχνολογικό Εκπαιδευτικό Ίδρυμα Αθήνας. Σχολή Τεχνολογικών Εφαρμογών. Τμήμα Ναυπηγών Μηχανικών Τ.Ε.	el
heal.publicationDate	2008-07
heal.bibliographicCitation	Bratsos, A.G. (2008) A fourth order numerical scheme for the one-dimensional sine-Gordon equation. International Journal of Computer Mathematics. [Online] 85 (7), pp.1083-1095. Available from: http://www.scopus.com [Accessed 04/06/2015]	en
heal.abstract	A numerical scheme arising from the use of a fourth order rational approximants to the matrix-exponential term in a three-time level recurrence relation is proposed for the numerical solution of the one-dimensional sine-Gordon (SG) equation already known from the bibliography. The method for its implementation uses a predictor-corrector scheme in which the corrector is accelerated by using the already evaluated corrected values modified predictor-corrector scheme. For the implementation of the corrector, in order to avoid extended matrix evaluations, an auxiliary vector was successfully introduced. Both the predictor and the corrector schemes are analysed for stability. The predictor-corrector/modified predictor-corrector (P-C/MPC) schemes are tested on single and soliton doublets as well as on the collision of breathers and a comparison of the numerical results with the corresponding ones in the bibliography is made. Finally, conclusions for the behaviour of the introduced MPC over the standard P-C scheme are derived.	en
heal.publisher	Taylor & Francis	en
heal.journalName	International Journal of Computer Mathematics	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	true